MathDB
IMC 2010 - Problem 4

Source:

July 26, 2010
functionabstract algebraquadraticsset theorynumber theory unsolvednumber theory

Problem Statement

Let a,ba,b be two integers and suppose that nn is a positive integer for which the set Z\{axn+byn∣x,y∈Z}\mathbb{Z} \backslash \{ax^n + by^n \mid x,y \in \mathbb{Z}\} is finite. Prove that n=1n=1.
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